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Finding the Fourth Proportional to 10,071.16, 13,899.86 and 8,389.90

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Solution

The fourth proportional to 10,071.16, 13,899.86 and 8,389.90 is: 11,579.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.16 : 13,899.86 = 8,389.90 : x
  2. Step 2: Convert to fraction form
    10,071.16/13,899.86 = 8,389.90/x
  3. Step 3: Cross multiply
    10,071.16x = 13,899.86 × 8,389.90
  4. Step 4: Simplify right side
    10,071.16x = 116,618,323.97
  5. Step 5: Solve for x
    x = 116,618,323.97/10,071.16
  6. Step 6: Final answer
    x = 11,579.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.